
a) Refereed Full Papers


53)
Scattering theory and an index theorem on the radial part of SL(2,R),
with H. Inoue, submitted.


52)
Control Simulation Experiments of Extreme Events with the Lorenz96 Model,
with Q. Sun, T. Miyoshi, submitted.


51)
Analysis of COVID19 in Japan with Extended SEIR model and ensemble Kalman filter,
with Q. Sun, T. Miyoshi, Journal of Computational and Applied Mathematics 419 (2023), 114772, 18 pages.


50)
Analysis of COVID19 spread in Tokyo through an agentbased model with data assimilation,
with C. Sun, T. Miyoshi, N. Tsuzu, J. Clin. Med. 11 (2022), 2401, 17 pages.


49)
Decay estimates for unitary representations with applications to continuous and discretetime models,
with R. Tiedra de Aldecoa, Ann. Henri Poincaré 24 (2023), 1  36.


48)
Spectral and scattering theory for topological crystals perturbed by infinitely many new edges,
with N. Tsuzu, Rev. Math. Phys. 34 (2022), 2250010, 26 pages.


47)
Bibliometric analysis on mathematics, 3 snapshots: 2005, 2010, 2015,
with Q. Sun, Electron. J. App. Stat. Anal. 14 (2021), 90  116.


46)
Scattering operator and wave operators for 2D Schroedinger operators with threshold obstructions,
with R. Tiedra de Aldecoa, L. Zhang, Complex Anal. Oper. Theory 15 (2021), article 106, 25 pages.


45)
On radial Schroedinger operators with a Coulomb potential: General boundary conditions,
with J. Derezinski, J. Faupin, Q.N. Nguyen, Advances in Operator Theory 5 (2020), 1132  1192.


44)
Discrete Laplacian in a halfspace with a periodic surface potential I:
Resolvent expansions, scattering matrix, and wave operators,
with S. H. Nguyen, R. Tiedra de Aldecoa, Mathematische Nachrichten 295 (2022), 912  949.


43)
Spectral and scattering theory of onedimensional coupled photonic crystals,
with G. De Nittis, M. Moscolari, R. Tiedra de Aldecoa, Rev. Math. Phys. 33 (2021), 2150027, 40 pages.


42)
Quantum walks with an anisotropic coin II: scattering theory,
with A. Suzuki and R. Tiedra de Aldecoa, Lett. Math. Phys. 109 (2019), 61  88.


41)
On radial Schroedinger operators with a Coulomb potential,
with J. Derezinski, Ann. Henri Poincaré 19 (2018), 2869  2917.


40)
Index theorems for Fredholm, semiFredholm, and almost periodic operators: all in one example,
with H. Inoue, J. Noncommut. Geom. 13 (2019), 1359  1380.


39)
Quantum walks with an anisotropic coin I: spectral theory,
with A. Suzuki and R. Tiedra de Aldecoa, Lett. Math. Phys. 108 (2018), 331  357.


38)
Does Levinson's theorem count complex eigenvalues ?
with F. Nicoleau and D. Parra, J. Math. Phys. 58 (2017), 1021011  1021017.


37)
Spectral and scattering theory for Schroedinger operators on perturbed topological crystals,
with D. Parra, Rev. Math. Phys. 30 (2018), 18500091  185000939.


36)
On Schroedinger operators with inverse square potentials on the halfline,
with J. Derezinski, Ann. Henri Poincaré 18 (2017), 869  928.


35)
Commutator criteria for strong mixing II. More general and simpler,
with R. Tiedra de Aldecoa, CUBO 21 (2019), 37  48.


34)
Continuity of the spectra for families of magnetic operators on Z^d,
with
D. Parra, Anal. Math. Phys. 6 (2016), 327  343.


33)
Schroedinger operators with n positive eigenvalues: an explicit construction involving complex valued potentials,
with
J. Uchiyama and T. Umeda, Proc. Japan Acad. 92, Ser. A (2016), 7  12.


32)
Spectral and scattering properties at thresholds for the Laplacian in a halfspace
with a periodic boundary condition,
with R. Tiedra de Aldecoa, J. Math. Anal. Appl. 446 (2017), 1695  1722.


31)
Onedimensional Dirac operators with zerorange interactions:
Spectral, scattering, and topological results,
with K. Pankrashkin, J. Math. Phys. 55 (2014), 0623051  06230517.


30)
Resolvent expansions and continuity of the scattering matrix
at embedded thresholds: the case of quantum waveguides,
with R. Tiedra de Aldecoa, Bull. Soc. math. France 144 (2016), 251  277.


29)
Explicit formulas for the Schroedinger wave operators in R^2,
with R. Tiedra de Aldecoa, C. R. Acad. Sci. Paris, Ser. I. 351 (2013), 209  214.


28)
New expressions for the wave operators of Schroedinger operators in R^3,
with R. Tiedra de Aldecoa, Lett. Math. Phys. 103 (2013), 1207  1221.


27)
Low energy spectral and scattering theory
for relativistic Schroedinger operators,
with T. Umeda, Hokkaido Mathematical Journal 45 (2016), 141  179.


26)
Commutator methods for unitary operators,
with C. Fernandez and R. Tiedra de Aldecoa, J. Spectr. Theory 3 (2013), 271  292.


25)
On the wave operators for the FriedrichsFaddeev model,
with H. Isozaki, Ann. Henri
Poincaré 13 (2012), 1469  1482.


24)
Spectral analysis and timedependent scattering theory
on manifolds with asymptotically cylindrical ends,
with R. Tiedra de Aldecoa, Rev. Math. Phys. 25 (2013), 13500031  135000340.


23)
A few results on Mourre theory in a twoHilbert spaces setting,
with R. Tiedra de Aldecoa, Anal. Math. Phys. 3 (2013), 183  200.


22)
Levinson's theorem and higher degree traces for AharonovBohm operators,
with J. Kellendonk and K. Pankrashkin, J. Math. Phys. 52 (2011), 0521021  05210228.


21)
On the wave operators and Levinson's theorem
for potential scattering in R^3,
with J. Kellendonk,
AsianEuropean Journal of Mathematics 5
(2012) 12500041  125000422.


20)
Positive quantization in the presence of a variable magnetic field,
with M. Mantoiu and R. Purice, J. Math. Phys. 52 (2011), 1121011  11210115.


19)
Time delay is a common feature of quantum scattering theory,
with R. Tiedra de Aldecoa, J. Math. Anal. Appl. 387 (2012), 618  630.


18)
Spectral and scattering theory for the AharonovBohm operators,
with K. Pankrashkin, Rev. Math. Phys. 23 (2011), 53  81.


17)
Coherent states in the presence
of a variable magnetic field,
with M. Mantoiu and R. Purice, International Journal of Geometric Methods in Modern Physics 8 (2011), 187  202.


16)
Magnetic pseudodifferential operators with coefficients in C*algebras,
with M. Lein and M.
Mantoiu, Publ. RIMS, Kyoto Univ. 46 (2010), 755  788.


15)
New formulae for the wave operators for a rank one interaction,
with R. Tiedra de Aldecoa, Integral Equations and Operator Theory
66 (2010), 283  292.


14)
The method of the weakly conjugate operator:
Extensions and applications to operators on graphs and groups,
with M.
Mantoiu and R. Tiedra de Aldecoa, Petroleum  Gas University of Ploiesti Bulletin,
Mathematics  informatics  physics Series
LXI (2009), 1  12.


13)
WeberSchafheitlin type integrals with exponent 1,
with J. Kellendonk, Integral Transforms and Special Functions 20 (2009), 147  153.


12)
On the structure of the wave operators in one dimensional
potential scattering,
with J. Kellendonk, Mathematical Physics Electronic Journal 14 (2008), 1  21.


11)
The topological meaning of Levinson's theorem, halfbound states included,
with J. Kellendonk, J. Phys. A: Math. Theor. 41 (2008), 295207.


10)
On
the spectrum of magnetic Dirac operators with Coulombtype
perturbations,
with R. Tiedra de Aldecoa,
J. Funct. Ana. 250 (2007), 625  641.


9)
Spectral
analysis for adjacency operators on graphs,
with
M. Mantoiu and R. Tiedra de Aldecoa, Ann. Henri
Poincaré 8 (2007), 1401  1423.


8)
Spectral
and propagation results for magnetic Schroedinger operators;
a C*algebraic framework,
with M. Mantoiu and
R. Purice, J. Funct. Ana. 250 (2007), 42  67.


7)
On
the essential spectrum of magnetic pseudodifferential
operators,
with M. Mantoiu and R. Purice, C. R. Acad.
Sci. Paris, Ser. I 344 (2007), 11  14.


6)
Levinson's theorem for Schroedinger operators with point interaction: a
topological approach,
with J. Kellendonk, J. Phys. A:
Math Gen. 39 (2006), 14397  14403.


5)
Some
improvements in the method of the weakly conjugate
operator,
Letters in Mathematical Physics
76 (2006), 27  36.


4)
Spectral
and scattering theory for Schroedinger operators with Cartesian
anisotropy,
Publ. RIMS, Kyoto Univ. 41
(2005), 73  111.


3)
On
perturbations of Dirac operators with variable magnetic field of
constant direction,
with R. Tiedra de Aldecoa, J. Math.
Phys. 45 (2004), 4164  4173.


2)
Minimal
escape velocities for unitary evolution groups,
Ann.
Henri Poincaré 5 (2004), 915  928.


1)
Absence
of singular spectrum for Schroedinger operators with anisotropic
potentials and magnetic fields,
with M. Mantoiu, J. Math.
Phys. 41 (2000), 2732  2740.


b) Refereed Conference Publications


b7)
On some integral operators appearing in scattering theory,
and their resolutions,
with T. Umeda, in Spectral Theory and Mathematical Physics, 243  256, Latin American Mathematics Series, Springer, 2020.


b6)
Topological Levinson's theorem for inverse square potentials:
complex, infinite, but not exceptional,
with H. Inoue, Rev. Roumaine Math. Pures Appl. 64 (2&3), 225  250, 2019.


b5)
Levinson's theorem: an index theorem in scattering theory,
in Proceedings of the Conference Spectral Theory and Mathematical Physics, Santiago 2014, Operator Theory: Advances and Applications
254, 149  203, Birkhäuser, 2016.


b4)
A new formula relating localisation operators to time operators,
with R. Tiedra de Aldecoa, in Spectral Analysis of Quantum Hamiltonians, Operator Theory:
Advances and Applications 224, 301  338, Birkhäuser/Springer, Basel, 2012.


b3)
New formulae for the AharonovBohm wave operators,
Spectral and Scattering Theory for Quantum Magnetic Systems, 159  168, Contemporary Mathematics 500,
AMS, Providence, Rhode Island, 2009.


b2)
Topological
boundary maps in physics: General theory and
applications, with J. Kellendonk, Perspectives in Operator Algebras and Mathematical Physics, 105  121, Theta, Bucharest, 2008.


b1)
Twisted
crossed products and magnetic pseudodifferential
operators,
with M. Mantoiu and R. Purice, Advances in
Operator Algebras and Mathematical Physics, 137  172, Theta Ser.
Adv. Math. 5, Theta, Bucharest, 2005.


c) Nonrefereed Conference Publications


c4)
Discrete Laplacian in a halfspace with a periodic surface potential: an overview of analytical investigations,
RIMS Kokyuroku 2195, 18  26, Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 2021.


c3)
Periodic Schroedinger operators on topological crystals:
framework, analytically fibered operator, conjugate operator,
RIMS Kokyuroku 2123, 51  68, Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 2019.


c2)
Inner and outer continuity of the spectra for families of magnetic operators on Z^d,
RIMS Kokyuroku 2023, 69  76, Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 2017.


c1)
Time delay for an abstract quantum scattering process,
RIMS Kokyuroku 1760, 33  43, Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 2011.


d) Theses


d3)
A few results in scattering theory: Time operator, time delay, Mourre theory and topological Levinson's theorems,
HDR Thesis (2011), University of Lyon.


d2)
Commutator
methods in spectral and scattering theory,
(partially
in French), PhD Thesis (2004), University of Geneva.


d1)
Analyse
spectrale d'hamiltoniens à champ magnétique pour des systèmes
bidimensionnels,
(French), Diploma Thesis (1999),
University of Lausanne.
